Abolvafaei, Mahnaz; Ganjefar, Soheil Integer-fractional decomposition and stability analysis of fractional-order nonlinear dynamic systems using homotopy singular perturbation method. (English) Zbl 07308356 Math. Control Signals Syst. 32, No. 4, 517-542 (2020). MSC: 93D05 93C15 26A33 93C70 93C10 PDF BibTeX XML Cite \textit{M. Abolvafaei} and \textit{S. Ganjefar}, Math. Control Signals Syst. 32, No. 4, 517--542 (2020; Zbl 07308356) Full Text: DOI
Kant, Nilay; Mukherjee, Ranjan Orbital stabilization of underactuated systems using virtual holonomic constraints and impulse controlled Poincaré maps. (English) Zbl 1454.93213 Syst. Control Lett. 146, Article ID 104813, 10 p. (2020). MSC: 93D05 93C27 93C85 PDF BibTeX XML Cite \textit{N. Kant} and \textit{R. Mukherjee}, Syst. Control Lett. 146, Article ID 104813, 10 p. (2020; Zbl 1454.93213) Full Text: DOI
Gomes Paulino, Nuno Miguel; Foo, Mathias; Kim, Jongmin; Bates, Declan G. On the stability of nucleic acid feedback control systems. (English) Zbl 1451.92125 Automatica 119, Article ID 109103, 9 p. (2020). MSC: 92C40 92C42 93B52 93C10 PDF BibTeX XML Cite \textit{N. M. Gomes Paulino} et al., Automatica 119, Article ID 109103, 9 p. (2020; Zbl 1451.92125) Full Text: DOI
Moon, Ji Hyun; Kang, Hyoung Bin; Lee, Ho Jae Robust \(\mathcal{H}_\infty\) and \(\mathcal{L}_\infty\)-\(\mathcal{L}_\infty\) sampled-data fuzzy static output-feedback controllers in Takagi-Sugeno form for singularly perturbed nonlinear systems with parametric uncertainty. (English) Zbl 1448.93102 J. Franklin Inst. 357, No. 13, 8508-8528 (2020). MSC: 93B52 93C42 93B35 93C57 93C70 93C10 PDF BibTeX XML Cite \textit{J. H. Moon} et al., J. Franklin Inst. 357, No. 13, 8508--8528 (2020; Zbl 1448.93102) Full Text: DOI
Liang, Shu; Zeng, Xianlin; Chen, Guanpu; Hong, Yiguang Distributed sub-optimal resource allocation via a projected form of singular perturbation. (English) Zbl 1448.93012 Automatica 121, Article ID 109180, 7 p. (2020). MSC: 93A16 93B70 93C70 91B32 PDF BibTeX XML Cite \textit{S. Liang} et al., Automatica 121, Article ID 109180, 7 p. (2020; Zbl 1448.93012) Full Text: DOI
Long, Mingkang; Su, Housheng; Liu, Bo Group controllability of two-time-scale discrete-time multi-agent systems. (English) Zbl 1437.93009 J. Franklin Inst. 357, No. 6, 3524-3540 (2020). MSC: 93B05 93C70 93C55 93A16 PDF BibTeX XML Cite \textit{M. Long} et al., J. Franklin Inst. 357, No. 6, 3524--3540 (2020; Zbl 1437.93009) Full Text: DOI
Yang, Wu; Wang, Yan-Wu; Wen, Changyun; Daafouz, Jamal Exponential stability of singularly perturbed switched systems with all modes being unstable. (English) Zbl 1440.93218 Automatica 113, Article ID 108800, 7 p. (2020). MSC: 93D23 93C70 93C30 93C10 93C05 PDF BibTeX XML Cite \textit{W. Yang} et al., Automatica 113, Article ID 108800, 7 p. (2020; Zbl 1440.93218) Full Text: DOI
Long, Mingkang; Su, Housheng; Liu, Bo Second-order controllability of two-time-scale multi-agent systems. (English) Zbl 1428.93018 Appl. Math. Comput. 343, 299-313 (2019). MSC: 93B05 93C05 93C70 PDF BibTeX XML Cite \textit{M. Long} et al., Appl. Math. Comput. 343, 299--313 (2019; Zbl 1428.93018) Full Text: DOI
Biswal, Bibhukalyan; Sen, Siddhartha; Maka, Srinivasu A structure preserving model order reduction method for calcium homeostatic system. (English) Zbl 1425.92069 Math. Biosci. 312, 8-22 (2019). MSC: 92C40 PDF BibTeX XML Cite \textit{B. Biswal} et al., Math. Biosci. 312, 8--22 (2019; Zbl 1425.92069) Full Text: DOI
Llibre, Jaume; Zhang, Xiang Limit cycles for discontinuous planar piecewise linear differential systems separated by an algebraic curve. (English) Zbl 1414.34023 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 2, Article ID 1950017, 17 p. (2019). MSC: 34C05 34A36 34C20 PDF BibTeX XML Cite \textit{J. Llibre} and \textit{X. Zhang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 2, Article ID 1950017, 17 p. (2019; Zbl 1414.34023) Full Text: DOI
Yang, Wu; Wang, Yan-Wu; Guan, Zhi-Hong; Wen, Changyun Controllability of impulsive singularly perturbed systems and its application to a class of multiplex networks. (English) Zbl 1408.93029 Nonlinear Anal., Hybrid Syst. 31, 123-134 (2019). MSC: 93B05 93C70 93C15 05C90 PDF BibTeX XML Cite \textit{W. Yang} et al., Nonlinear Anal., Hybrid Syst. 31, 123--134 (2019; Zbl 1408.93029) Full Text: DOI
Che, Yiming; Cheng, Changqing Uncertainty quantification in stability analysis of chaotic systems with discrete delays. (English) Zbl 1442.34118 Chaos Solitons Fractals 116, 208-214 (2018). MSC: 34K23 34K50 PDF BibTeX XML Cite \textit{Y. Che} and \textit{C. Cheng}, Chaos Solitons Fractals 116, 208--214 (2018; Zbl 1442.34118) Full Text: DOI
López Zazueta, Claudia; Bernard, Olivier; Gouzé, Jean-Luc Analytical reduction of nonlinear metabolic networks accounting for dynamics in enzymatic reactions. (English) Zbl 1420.92030 Complexity 2018, Article ID 2342650, 22 p. (2018). MSC: 92C40 92C42 PDF BibTeX XML Cite \textit{C. López Zazueta} et al., Complexity 2018, Article ID 2342650, 22 p. (2018; Zbl 1420.92030) Full Text: DOI
Yang, Chunyu; Xu, Yiming; Zhou, Linna; Sun, Yongzheng Model-free composite control of flexible manipulators based on adaptive dynamic programming. (English) Zbl 1405.93165 Complexity 2018, Article ID 9720309, 9 p. (2018). MSC: 93C85 93C70 93B12 93C40 90C59 PDF BibTeX XML Cite \textit{C. Yang} et al., Complexity 2018, Article ID 9720309, 9 p. (2018; Zbl 1405.93165) Full Text: DOI
Long, Mingkang; Su, Housheng; Liu, Bo Group controllability of two-time-scale multi-agent networks. (English) Zbl 1451.93029 J. Franklin Inst. 355, No. 13, 6045-6061 (2018). MSC: 93B05 93A16 93B70 93C70 PDF BibTeX XML Cite \textit{M. Long} et al., J. Franklin Inst. 355, No. 13, 6045--6061 (2018; Zbl 1451.93029) Full Text: DOI
Rejeb, Jihene Ben; Morărescu, Irinel-Constantin; Daafouz, Jamal Control design with guaranteed cost for synchronization in networks of linear singularly perturbed systems. (English) Zbl 1387.93110 Automatica 91, 89-97 (2018). MSC: 93C70 93A14 68T42 PDF BibTeX XML Cite \textit{J. B. Rejeb} et al., Automatica 91, 89--97 (2018; Zbl 1387.93110) Full Text: DOI
Erfani, Ali; Rezaei, Sara; Pourseifi, Mehdi; Derili, Hesameldien Optimal control in teleoperation systems with time delay: a singular perturbation approach. (English) Zbl 1383.93048 J. Comput. Appl. Math. 338, 168-184 (2018). MSC: 93C70 49N90 93B11 93C15 PDF BibTeX XML Cite \textit{A. Erfani} et al., J. Comput. Appl. Math. 338, 168--184 (2018; Zbl 1383.93048) Full Text: DOI
Amini, Fatemeh; Khaloozadeh, Hamid Robust stabilization of multilinear interval plants by Takagi-Sugeno fuzzy controllers. (English) Zbl 07166265 Appl. Math. Modelling 51, 329-340 (2017). MSC: 93D09 93D21 PDF BibTeX XML Cite \textit{F. Amini} and \textit{H. Khaloozadeh}, Appl. Math. Modelling 51, 329--340 (2017; Zbl 07166265) Full Text: DOI
Wang, Qianjin; Zhou, Linna; Dai, Wei; Ma, Xiaoping \(H_\infty\) control for T-S fuzzy singularly perturbed switched systems. (English) Zbl 1426.93165 Math. Probl. Eng. 2017, Article ID 2597071, 13 p. (2017). MSC: 93C42 93B36 93C70 PDF BibTeX XML Cite \textit{Q. Wang} et al., Math. Probl. Eng. 2017, Article ID 2597071, 13 p. (2017; Zbl 1426.93165) Full Text: DOI
Yang, Wu; Wang, Yan-Wu; Shen, Yanjun; Pan, Linqiang Cluster synchronization of coupled delayed competitive neural networks with two time scales. (English) Zbl 1393.34053 Nonlinear Dyn. 90, No. 4, 2767-2782 (2017). MSC: 34D06 34B45 34E13 92B20 PDF BibTeX XML Cite \textit{W. Yang} et al., Nonlinear Dyn. 90, No. 4, 2767--2782 (2017; Zbl 1393.34053) Full Text: DOI
Yang, Wu; Wang, Yan-Wu; Xiao, Jiang-Wen; Liu, Zhi-Wei Coordination of networked delayed singularly perturbed systems with antagonistic interactions and switching topologies. (English) Zbl 1374.34086 Nonlinear Dyn. 89, No. 1, 741-754 (2017). MSC: 34B45 93C42 PDF BibTeX XML Cite \textit{W. Yang} et al., Nonlinear Dyn. 89, No. 1, 741--754 (2017; Zbl 1374.34086) Full Text: DOI
Kia, Solmaz S. Distributed optimal in-network resource allocation algorithm design via a control theoretic approach. (English) Zbl 1376.93008 Syst. Control Lett. 107, 49-57 (2017). MSC: 93A14 90C25 05C90 PDF BibTeX XML Cite \textit{S. S. Kia}, Syst. Control Lett. 107, 49--57 (2017; Zbl 1376.93008) Full Text: DOI
Kodra, Kliti; Gajic, Zoran Optimal control for a new class of singularly perturbed linear systems. (English) Zbl 1372.93145 Automatica 81, 203-208 (2017). MSC: 93C70 49N10 49M30 PDF BibTeX XML Cite \textit{K. Kodra} and \textit{Z. Gajic}, Automatica 81, 203--208 (2017; Zbl 1372.93145) Full Text: DOI
Desroches, Mathieu; Guillamon, Antoni; Ponce, Enrique; Prohens, Rafael; Rodrigues, Serafim; Teruel, Antonio E. Canards, folded nodes, and mixed-mode oscillations in piecewise-linear slow-fast systems. (English) Zbl 1361.34069 SIAM Rev. 58, No. 4, 653-691 (2016). Reviewer: Nikola Popovic (Edinburgh) MSC: 34E17 34E15 34C26 34A36 PDF BibTeX XML Cite \textit{M. Desroches} et al., SIAM Rev. 58, No. 4, 653--691 (2016; Zbl 1361.34069) Full Text: DOI
Prohens, R.; Teruel, A. E.; Vich, C. Slow-fast \(n\)-dimensional piecewise linear differential systems. (English) Zbl 1330.34095 J. Differ. Equations 260, No. 2, 1865-1892 (2016). Reviewer: Rodica Luca (Iaşi) MSC: 34E15 34E17 37G05 34D15 34C45 PDF BibTeX XML Cite \textit{R. Prohens} et al., J. Differ. Equations 260, No. 2, 1865--1892 (2016; Zbl 1330.34095) Full Text: DOI
Azadi, M.; Eghtesad, M.; Fazelzadeh, S. A.; Azadi, E. Dynamics and control of a smart flexible satellite moving in an orbit. (English) Zbl 1335.70027 Multibody Syst. Dyn. 35, No. 1, 1-23 (2015). MSC: 70E60 93B12 70M20 93C70 PDF BibTeX XML Cite \textit{M. Azadi} et al., Multibody Syst. Dyn. 35, No. 1, 1--23 (2015; Zbl 1335.70027) Full Text: DOI
Chekroun, Mickaël D.; Liu, Honghu Finite-horizon parameterizing manifolds, and applications to suboptimal control of nonlinear parabolic PDEs. (English) Zbl 1311.49010 Acta Appl. Math. 135, No. 1, 81-144 (2015). MSC: 49J20 49K20 35K55 PDF BibTeX XML Cite \textit{M. D. Chekroun} and \textit{H. Liu}, Acta Appl. Math. 135, No. 1, 81--144 (2015; Zbl 1311.49010) Full Text: DOI arXiv
Mendez-Vergara, Fany; Cervantes, Ilse; Mendoza-Torres, Angelica Stability of gain scheduling control for aircraft with highly nonlinear behavior. (English) Zbl 1407.93288 Math. Probl. Eng. 2014, Article ID 906367, 12 p. (2014). MSC: 93C95 93D20 93B51 PDF BibTeX XML Cite \textit{F. Mendez-Vergara} et al., Math. Probl. Eng. 2014, Article ID 906367, 12 p. (2014; Zbl 1407.93288) Full Text: DOI
Parpas, Panos; Webster, Mort A stochastic multiscale model for electricity generation capacity expansion. (English) Zbl 1305.90405 Eur. J. Oper. Res. 232, No. 2, 359-374 (2014). MSC: 90C40 90C90 90B90 91B76 PDF BibTeX XML Cite \textit{P. Parpas} and \textit{M. Webster}, Eur. J. Oper. Res. 232, No. 2, 359--374 (2014; Zbl 1305.90405) Full Text: DOI
Puga, S.; Bonilla, M.; Mondié, S.; Malabre, M. Singularly perturbed control law for linear time-invariant delay SISO systems. (English) Zbl 1305.93095 Bol. Soc. Mat. Mex., III. Ser. 20, No. 1, 69-85 (2014). MSC: 93C23 93C70 93C41 93D15 93D20 PDF BibTeX XML Cite \textit{S. Puga} et al., Bol. Soc. Mat. Mex., III. Ser. 20, No. 1, 69--85 (2014; Zbl 1305.93095) Full Text: DOI
Menini, Laura; Tornambè, Antonio High-gain observers for nonlinear systems with trajectories close to unobservability. (English) Zbl 1293.93117 Eur. J. Control 20, No. 3, 118-131 (2014). MSC: 93B07 93C10 PDF BibTeX XML Cite \textit{L. Menini} and \textit{A. Tornambè}, Eur. J. Control 20, No. 3, 118--131 (2014; Zbl 1293.93117) Full Text: DOI
Salas, Oscar; Castañeda, Herman; De Leon-Morales, Jesus Attitude observer-based robust control for a twin rotor system. (English) Zbl 1278.93283 Kybernetika 49, No. 5, 809-828 (2013). MSC: 93E12 PDF BibTeX XML Cite \textit{O. Salas} et al., Kybernetika 49, No. 5, 809--828 (2013; Zbl 1278.93283) Full Text: Link
Oliveira, Tiago Roux; Peixoto, Alessandro Jacoud; Hsu, Liu Global real-time optimization by output-feedback extremum-seeking control with sliding modes. (English) Zbl 1254.93052 J. Franklin Inst. 349, No. 4, 1397-1415 (2012). MSC: 93B12 93B52 PDF BibTeX XML Cite \textit{T. R. Oliveira} et al., J. Franklin Inst. 349, No. 4, 1397--1415 (2012; Zbl 1254.93052) Full Text: DOI
Anderson, James; Chang, Yo-Cheng; Papachristodoulou, Antonis Model decomposition and reduction tools for large-scale networks in systems biology. (English) Zbl 1235.93018 Automatica 47, No. 6, 1165-1174 (2011). MSC: 93A15 92C42 93B11 PDF BibTeX XML Cite \textit{J. Anderson} et al., Automatica 47, No. 6, 1165--1174 (2011; Zbl 1235.93018) Full Text: DOI
Lin, Xiao-Biao Algebraic dichotomies with an application to the stability of Riemann solutions of conservation laws. (English) Zbl 1192.34064 J. Differ. Equations 247, No. 11, 2924-2965 (2009). Reviewer: Miklavž Mastinšek (Maribor) MSC: 34D09 35B35 47D06 PDF BibTeX XML Cite \textit{X.-B. Lin}, J. Differ. Equations 247, No. 11, 2924--2965 (2009; Zbl 1192.34064) Full Text: DOI
Mukaidani, Hiroaki Soft-constrained stochastic Nash games for weakly coupled large-scale systems. (English) Zbl 1162.93310 Automatica 45, No. 5, 1272-1279 (2009). MSC: 93A15 93E03 91A15 93E25 PDF BibTeX XML Cite \textit{H. Mukaidani}, Automatica 45, No. 5, 1272--1279 (2009; Zbl 1162.93310) Full Text: DOI
Meng, Bo; Jing, Yuan-Wei Robust semiglobally practical stabilization for nonlinear singularly perturbed systems. (English) Zbl 1161.93022 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 7, 2691-2699 (2009). Reviewer: Andrea Bacciotti (Torino) MSC: 93D21 34H05 34E15 93C10 93C70 93B52 PDF BibTeX XML Cite \textit{B. Meng} and \textit{Y.-W. Jing}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 7, 2691--2699 (2009; Zbl 1161.93022) Full Text: DOI
Mukaidani, Hiroaki Efficient numerical procedures for solving closed-loop Stackelberg strategies with small singular perturbation parameter. (English) Zbl 1130.93383 Appl. Math. Comput. 188, No. 2, 1173-1183 (2007). MSC: 93C70 93C05 91A65 90C53 PDF BibTeX XML Cite \textit{H. Mukaidani}, Appl. Math. Comput. 188, No. 2, 1173--1183 (2007; Zbl 1130.93383) Full Text: DOI
Sinha, S. C.; Redkar, Sangram; Butcher, Eric A. On macromodeling of nonlinear systems with time periodic coefficients. (English) Zbl 1112.34023 Commun. Nonlinear Sci. Numer. Simul. 11, No. 4, 510-530 (2006). Reviewer: Smail Djebali (Algiers) MSC: 34C20 34C45 93A30 PDF BibTeX XML Cite \textit{S. C. Sinha} et al., Commun. Nonlinear Sci. Numer. Simul. 11, No. 4, 510--530 (2006; Zbl 1112.34023) Full Text: DOI
Cantó, Begoña; Coll, Carmen; Sánchez, Elena Positive \(N\)-periodic descriptor control systems. (English) Zbl 1157.93433 Syst. Control Lett. 53, No. 5, 407-414 (2004). MSC: 93C55 93B03 93B05 93C05 93D20 PDF BibTeX XML Cite \textit{B. Cantó} et al., Syst. Control Lett. 53, No. 5, 407--414 (2004; Zbl 1157.93433) Full Text: DOI
Mukaidani, Hiroaki; Xu, Hua; Mizukami, Koichi A revised Kleinman algorithm to solve algebraic Riccati equation of singularly perturbed systems. (English) Zbl 0996.93033 Automatica 38, No. 3, 553-558 (2002). Reviewer: V.Dragan (Bucureşti) MSC: 93B40 93C70 93D15 49N10 PDF BibTeX XML Cite \textit{H. Mukaidani} et al., Automatica 38, No. 3, 553--558 (2002; Zbl 0996.93033) Full Text: DOI